Comment by Retric
Discard any hands where you pick the same seats, at the end.
You can also play actual poker like this. Each player writes down random numbers 0-51 in predefined order. You reveal some of those numbers to the other player who adds their own number mod 52 to get their private hand. You all slowly reveal both numbers for shared cards. If one of your cards matches the shared card you have to start over, same deal if at the end multiple players end up with the same cards.
It’s a slow process, but when the goal is wasting time and you don’t have cards it’s a poor substitute.